Some computations in the heart of the homotopy t-structure on logarithmic motives
Abstract
In this note we will illustrate a method for computing the π0 of the effective log motive of a smooth and proper variety over a perfect field k and show that it is A1-invariant. We will apply this to compute the first homotopy groups of P1 to show that the stripping functor from log motivic sheaves to (usual) Nisnevich sheaves with transfers is fully faithful.
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